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Popular >

((3x-2))/((9x+1))< 1/3

Solution

\frac{( 3 x - 2 )}{( 9 x + 1 )} < \frac{1}{3}

Solution

x > - \frac{1}{9}

+2

Interval Notation

(- \frac{1}{9}, \infty)

Decimal Notation

x > - 0.11111 \dots

Solution steps

\frac{3 x - 2}{9 x + 1} < \frac{1}{3}

Rewrite in standard form

\frac{1}{9 x + 1} > 0

If

\frac{1}{a} > 0

then

a > 0

9 x + 1 > 0

Move

1

to the right side

9 x > - 1

Divide both sides by

9

x > - \frac{1}{9}

Popular Examples

((x^2-2x+3))/((x+1))<= 1

\frac{( x ^{2} - 2 x + 3 )}{( x + 1 )} \leq 1

x^{2} - 4 x - 7 < 0

(x^2-4)(x-1)^6<0

(x^{2} - 4) (x - 1)^{6} < 0

((6+3j)^2)/((2-4j)+8)<30

\frac{( 6 + 3 j ) ^{2}}{( 2 - 4 j ) + 8} < 30

((3x^2))/((x^2-1))<0

\frac{( 3 x ^{2} )}{( x ^{2} - 1 )} < 0

Frequently Asked Questions (FAQ)

What is ((3x-2))/((9x+1))< 1/3 ?
The solution to ((3x-2))/((9x+1))< 1/3 is x>-1/9